Define T: R → R² by T(x) = Ax. Find a basis B for R? with the property that [T]B is diagonal. 4 - 3 A = - 5 2 A basis for R2 with the property that [T], is diagonal is { }. (Type a vector or list of vectors. Use a comma to separate vectors as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Linear Algebra.

Define T : R
? –→ R? by T(x) = Ax. Find a basis B for R? with the property that [T]R is diagonal.
2
%3D
4 - 3
A =
- 5
A basis for R? with the property that [T]B is diagonal is { }.
(Type a vector or list of vectors. Use a comma to separate vectors as needed.)
Transcribed Image Text:Define T : R ? –→ R? by T(x) = Ax. Find a basis B for R? with the property that [T]R is diagonal. 2 %3D 4 - 3 A = - 5 A basis for R? with the property that [T]B is diagonal is { }. (Type a vector or list of vectors. Use a comma to separate vectors as needed.)
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